Sin4 + Cos4 = 1 - 2Sin2Cos2

  • 10

sin4A + cos4A = 1 - 2sin2Acos2A

=sin4A + cos4A + 2sin2Acos2A = 1

LHS = sin4A + cos4A + 2sin2Acos2A

         =(sin2A + cos2A)2

         =12

         =1   = RHS

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  • -2
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